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Finding the Fourth Proportional to 1,160.64, 1,741.22 and 338.98

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Solution

The fourth proportional to 1,160.64, 1,741.22 and 338.98 is: 508.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.64 : 1,741.22 = 338.98 : x
  2. Step 2: Convert to fraction form
    1,160.64/1,741.22 = 338.98/x
  3. Step 3: Cross multiply
    1,160.64x = 1,741.22 × 338.98
  4. Step 4: Simplify right side
    1,160.64x = 590,238.76
  5. Step 5: Solve for x
    x = 590,238.76/1,160.64
  6. Step 6: Final answer
    x = 508.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.